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Finding the Fourth Proportional to 8,502.65, 12,752.75 and 2,263.21

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Solution

The fourth proportional to 8,502.65, 12,752.75 and 2,263.21 is: 3,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.65 : 12,752.75 = 2,263.21 : x
  2. Step 2: Convert to fraction form
    8,502.65/12,752.75 = 2,263.21/x
  3. Step 3: Cross multiply
    8,502.65x = 12,752.75 × 2,263.21
  4. Step 4: Simplify right side
    8,502.65x = 28,862,125.10
  5. Step 5: Solve for x
    x = 28,862,125.10/8,502.65
  6. Step 6: Final answer
    x = 3,394.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.